Keystones — Capstone
Five GCSE retrieval questions · 15 July 2026 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √320
Answer: 8√5 -
2. Algebra Completing the square
Complete the square: x² + 2x
Answer: (x + 1)² - 1 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 23cm, b = 26cm, angle = 75°
Answer: 288.8cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5 -
5. Statistics Averages and range
Find the mean, median and range of: 42, 93, 21, 97, 42, 44, 94, 99
Answer: Mean = 66.5, Median = 93, Range = 78